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Data Sufficiency — Questions and Answers

Data Sufficiency does not ask you to solve the problem — it asks whether the given statements contain enough information to solve it. That distinction is the whole skill: candidates lose marks by computing an answer instead of judging sufficiency. Evaluate each statement in isolation first, then together, and stop the moment you can decide.

10 solved questionsVerbal ReasoningFree · no signup

Data Sufficiency— Concepts, Formulas & Shortcuts

  • Never compute the final answer; determine only whether it CAN be determined.
  • Evaluate statement I alone, then statement II alone, and only then both together.
  • A statement is sufficient if it yields exactly ONE possible answer.
  • If both statements individually suffice, the answer is "either alone is sufficient".
  • If neither alone suffices but together they do, the answer is "both together".
  • Beware of statements that merely restate given information — they add nothing.

Data Sufficiency Practice Questions with Answers

Attempt each question first, then open the explanation. All 10 questions below are free to read and require no signup.

  1. Q1.Question: What is the value of x? I. x + 3 = 7. II. x is a positive integer. Which statement(s) suffice?

    Easy
    • AI alone
    • BII alone
    • CBoth together only
    • DNeither
    +Show Answer & Explanation

    Answer: A. I alone

    Explanation: Statement I gives x = 4 uniquely. Statement II alone allows infinitely many values.

    Data Sufficiency question 1 of 10

  2. Q2.Question: Is the number even? I. It is divisible by 4. II. It is greater than 10. Which suffices?

    Moderate
    • AI alone
    • BII alone
    • CBoth together only
    • DNeither
    +Show Answer & Explanation

    Answer: A. I alone

    Explanation: Divisibility by 4 guarantees evenness. Being greater than 10 says nothing about parity.

    Data Sufficiency question 2 of 10

  3. Q3.Question: What is the area of a rectangle? I. Its length is 10 cm. II. Its breadth is 6 cm. Which suffices?

    Easy
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: C. Both together

    Explanation: Area needs both dimensions, so neither statement alone is enough but together they determine it.

    Data Sufficiency question 3 of 10

  4. Q4.Question: How old is Ravi? I. He is 5 years older than his brother. II. His brother is 20 years old. Which suffices?

    Easy
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: C. Both together

    Explanation: Only by combining the difference with the brother's actual age can Ravi's age be fixed at 25.

    Data Sufficiency question 4 of 10

  5. Q5.Question: What is the speed of the train? I. It covers 200 km. II. It takes 4 hours. Which suffices?

    Easy
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: C. Both together

    Explanation: Speed requires both distance and time; each statement alone gives only one of the two.

    Data Sufficiency question 5 of 10

  6. Q6.Question: Is x greater than 5? I. x² = 36. II. x is positive. Which suffices?

    Difficult
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: C. Both together

    Explanation: I allows x = 6 or −6, so it is insufficient alone. With II fixing the sign, x = 6 and the answer is yes.

    Data Sufficiency question 6 of 10

  7. Q7.Question: What is the perimeter of a square? I. Its area is 49 cm². II. Its diagonal is 7√2 cm. Which suffices?

    Difficult
    • AI alone
    • BII alone
    • CEither alone
    • DBoth together only
    +Show Answer & Explanation

    Answer: C. Either alone

    Explanation: Area 49 gives side 7; diagonal 7√2 also gives side 7. Either statement alone determines the perimeter.

    Data Sufficiency question 7 of 10

  8. Q8.Question: Who is the tallest? I. A is taller than B. II. C is taller than A. Which suffices?

    Moderate
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: C. Both together

    Explanation: Together they give C > A > B, identifying C as tallest. Neither statement alone ranks all three.

    Data Sufficiency question 8 of 10

  9. Q9.In data sufficiency questions, your task is to:

    Easy
    • ASolve the problem completely
    • BDecide whether the data is enough to solve it
    • CFind the shortest solution
    • DEstimate the answer
    +Show Answer & Explanation

    Answer: B. Decide whether the data is enough to solve it

    Explanation: The question asks about sufficiency of information, not about the numerical answer itself.

    Data Sufficiency question 9 of 10

  10. Q10.Question: What is the cost of one pen? I. Five pens cost ₹100. II. Pens are cheaper than pencils. Which suffices?

    Easy
    • AI alone
    • BII alone
    • CBoth together
    • DNeither
    +Show Answer & Explanation

    Answer: A. I alone

    Explanation: Statement I gives ₹20 per pen. Statement II is a comparison with no numeric content.

    Data Sufficiency question 10 of 10

Data Sufficiency — Frequently Asked Questions

What is the commonest mistake in data sufficiency?+

Actually solving the problem. You only need to establish that a unique answer exists. Computing it wastes time and often leads candidates to assume information not given.

How do I test a statement for sufficiency?+

Ask whether more than one answer is consistent with it. If two different values both satisfy the statement, it is insufficient.

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